Generalised modal realisation as a practical and efficient tool for FWL implementation
Autor: | Philippe Chevrel, Yu Feng, Thibault Hilaire |
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Přispěvatelé: | Institut de Recherche en Communications et en Cybernétique de Nantes (IRCCyN), Mines Nantes (Mines Nantes)-École Centrale de Nantes (ECN)-Ecole Polytechnique de l'Université de Nantes (EPUN), Université de Nantes (UN)-Université de Nantes (UN)-PRES Université Nantes Angers Le Mans (UNAM)-Centre National de la Recherche Scientifique (CNRS), Performance et Qualité des Algorithmes Numériques (PEQUAN), Laboratoire d'Informatique de Paris 6 (LIP6), Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS)-Université Pierre et Marie Curie - Paris 6 (UPMC)-Centre National de la Recherche Scientifique (CNRS) |
Jazyk: | angličtina |
Rok vydání: | 2011 |
Předmět: |
0209 industrial biotechnology
media_common.quotation_subject FWL implementation 02 engineering and technology [SPI.AUTO]Engineering Sciences [physics]/Automatic 020901 industrial engineering & automation 0202 electrical engineering electronic engineering information engineering Sensitivity (control systems) Simplicity Parametric statistics media_common Mathematics modal realisation Realisation pole sensitivity dynamic scaling 020208 electrical & electronic engineering round-off noise gain Computer Science Applications implicit framework Noise Modal Computer engineering Control and Systems Engineering Round-off error Digital filter Algorithm coefficient sensitivity |
Zdroj: | International Journal of Control International Journal of Control, Taylor & Francis, 2011, 84 (1), pp.66-77. ⟨10.1080/00207179.2010.540714⟩ International Journal of Control, 2011, 84 (1), pp.66-77. ⟨10.1080/00207179.2010.540714⟩ |
ISSN: | 0020-7179 1366-5820 |
DOI: | 10.1080/00207179.2010.540714⟩ |
Popis: | International audience; Finite word length (FWL) effects have been a critical issue in digital filter implementation for almost four decades. Although some optimisations may be attempted to get an optimal realisation with regards to a particular effect, for instance the parametric sensitivity or the round-off noise gain, the purpose of this article is to propose an effective one, i.e. taking into account all the aspects. Based on the specialised implicit form, a new effective and sparse structure, named rho-modal realisation, is proposed. This realisation meets simultaneously accuracy (low sensitivity, round-off noise gain and overflow risk), few and flexible computational efforts with a good readability (thanks to sparsity) and simplicity (no tricky optimisation is required to obtain it) as well. Two numerical examples are included to illustrate the rho-modal realisation's interest. |
Databáze: | OpenAIRE |
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